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On a given GNV-ATL flight, there are 200 seats and each seat is sold at an average ticket price of $300. It has been
On a given GNV-ATL flight, there are 200 seats and each seat is sold at an average ticket price of $300. It has been observed that on most days in the past month, the flight rarely approaches 100% occupancy since there are passenger no-shows. Hence, the airline decides to overbook flights. The airline manager assigned the task of determining the number of seats to overbook on this flight estimates no-shows using historical information. However, she encounters an interesting conundrum: Both the mean and std. deviation of no-shows changes based on the service denial rate offered (service denial rate is the $ offered to each passenger denied a seat due to overbooking). Her analysis indicates that no-shows are normally distributed with mean-u=20-(service denial rate/100) and standard deviation= =7+(service denial rate/100). For example, if the service denial rate is $ 400, then mean no-shows-u=20-(400/100)=16 and o=7+(400/100)=11. Help the airline manager to analyze each service denial rates by completing the table that follows. Service Optimal Percentage Expected Expected Denial Overbooks of time number of loss ($) Cost customers customers through Y* will be bumped bumping bumped passengers $ 400 $ 500 $ 600 Expected Expected number loss ($) for of empty seats empty seats
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